Interpreting the derivative The graph of f' on the interval [-3, 2] is shown in the figure. (2, 4) y = f'(x) (-1, 1) 1+ (1, 1) (-3, –1) a. On what interval(s) is ƒ increasing? Decreasing? b. Find the critical points of f. Which critical points correspond to local maxima? Local minima? Neither?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Interpreting the derivative The graph of f' on the interval
[-3, 2] is shown in the figure.
(2, 4)
y = f'(x)
(-1, 1)
1+
(1, 1)
(-3, –1)
a. On what interval(s) is ƒ increasing? Decreasing?
b. Find the critical points of f. Which critical points correspond
to local maxima? Local minima? Neither?
Transcribed Image Text:Interpreting the derivative The graph of f' on the interval [-3, 2] is shown in the figure. (2, 4) y = f'(x) (-1, 1) 1+ (1, 1) (-3, –1) a. On what interval(s) is ƒ increasing? Decreasing? b. Find the critical points of f. Which critical points correspond to local maxima? Local minima? Neither?
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